Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968r |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
154039639209984 = 211 · 311 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2706411,-1713715450] |
[a1,a2,a3,a4,a6] |
Generators |
[2894:121210:1] [46850:3424905:8] |
Generators of the group modulo torsion |
j |
1468410500070970706/103175127 |
j-invariant |
L |
6.3238042886035 |
L(r)(E,1)/r! |
Ω |
0.11770668236637 |
Real period |
R |
53.725108561978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45936q4 7656b3 |
Quadratic twists by: -4 -3 |